5017746249360 has 800 divisors, whose sum is σ = 19955101541760. Its totient is φ = 1162401767424.

The previous prime is 5017746249331. The next prime is 5017746249379. The reversal of 5017746249360 is 639426477105.

5017746249360 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 7 + 4 + 624 + 9 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5017746249297 and 5017746249306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 347988231 + ... + 348002649.

Almost surely, 2^{5017746249360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017746249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9977550770880).

5017746249360 is an abundant number, since it is smaller than the sum of its proper divisors (14937355292400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5017746249360 is a wasteful number, since it uses less digits than its factorization.

5017746249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5017746249360 in words is "five trillion, seventeen billion, seven hundred forty-six million, two hundred forty-nine thousand, three hundred sixty".